Question 64
By selling an article for Rs. 21, a man lost such that the percentage loss was equal to the costprice. The cost price of the article was
Solution
Cost price (CP), Selling price (SP), Loss (L)
Given that SP = 21
Assume CP = X
L = CP - SP
% loss was equal to the CP , $$ \frac{CP - SP}{CP} =CP% $$
Substituting,
$$ \frac{x - 21}{x} = \frac{x}{100} $$
On solving,
$$ x^2 = 100x - 2100 $$
$$ x^2 - 70x - 30x + 2100 = 0 $$
x(x-70) - 30(x - 70) = 0
(x - 30)(x - 70) = 0
x = Rs 30 or Rs 70
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